The population of the bacteria after 8 hours is 1639 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 500 bacteria, hence
a = 500
The bacteria grow at a rate of 16% per hour, hence:
b = 100% + 16% = 1.16
The exponential equation becomes:
y = 500(1.16)ˣ
After 8 hours:
y = 500(1.16)⁸ = 1639
The population of the bacteria after 8 hours is 1639 bacteria.
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Answer:
3
Step-by-step explanation:
420=2x2x3x5x7
recall that 2,3,5,7 are all prime numbers
Answer:
14.3%
Step-by-step explanation:
1/7=0.142857142857
round that to the nearest tenth and that is 0.143
make it a percentage and it is 14.3%
Answer:
Step-by-step explanation:
So the division property states that if both sides of an equation are equal and whenever you divide both sides of that equation by the same number they should stay equal. Example
12=12 right? so if I divide both 12 and 12 by 3 I should get 3=3
We use this to solve for variable such as x
So new example lets take
5x=25
Since both sides are equal I can divide by the same number and should get an equal number right? So lets divide by 5 on both sides. 5x divided by 5 equals x and 25 divided by 5 equals 5 so my new equation is
x equals 5 or x=5.
If I plug my x=5 back into the equation they should be equal so lets see...
5(5)=25
25=25
And it checks out :)
